# Problems involving Arithmetic Progressions - easy

Problem №1
Given the arithmetic progression $% a_1,a_2,a_3,...$, for which $a_1=1$ and $d=a_2-a_1=4$, find $a_8$.
Problem №2
Let ${a_n}$ be an arithmetic progression, for which $a_1=15$ and $d=3$. Find the sum of the first 10 elements.
Problem №3
Let ${a_n}$ be an arithmetic progression, for which $a_3=13$ and $a_{11}=25$. Find $a_7$
Problem №4
Determine the difference of an arithmetic progression ${a_n}$, if $a_5=18$ and $a_2=9$
Problem №5
Find the difference of the arithmetic progression ${a_n}$ if $a_1=5$ and $a_3=15$
Problem №6
Let ${a_n}$ be an arithmetic progression, for which $a_2=5$ and $a_1=-11$. Find the progression's difference $d$.
Problem №7
Let ${a_n}$ be an arithmetic progression, for which $a_1=1$ and $d=1$. Find $a_{1083}$
Problem №8
Let $a_n$ be an arithmetic progression. If $a_1=15$ and $a_2=8$, determine $a_{19}$.
Problem №9
Let ${a_n}$ be an arithmetic progression, for which $d=12$ and $a_3=43$. Find $a_1$
Problem №10
Let ${a_n}$ be an arithmetic progression. If $a_1=4$ and $a_2=7$, determine $a_{11}$
Problem №11
Find the sum of the first 10 natural numbers.

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